Maths Exam

1. Simplify 1

Simplify the following expression: $$ 2(-5)(-1) - \left(6(-4) + 2\times6\right) $$
Correct Answer
$$ 22$$ or 22.0000

2. Simplify 2

Simplify the following expression: $$ \frac{-4\times2 - \frac{-1}{5}}{2\times6\times5} $$
Correct Answer
$$ \frac{-13}{100}$$ or -0.130000

3. Fractions 1

Simplify the following expression: $$ \frac{2}{2} - \frac{-2}{3} $$
Correct Answer
$$ \frac{5}{3}$$ or 1.6666666666666665

4. Fractions 2

Simplify the following expression: $$ \frac{1}{5}\frac{-6}{4} $$
Correct Answer
$$ \frac{-3}{10}$$ or -0.30000000000000004

5. Significant figures

1. Write the following to 2 significant figures: 2.1227217
Correct Answer
2.1 or $$2.1\times10^{0}$$
2. Write the following to 3 significant figures: 0.0022298969
Correct Answer
0.00223 or $$2.23\times10^{-3}$$

6. Standard Form

1. Write the following in standard form to 2 significant digits: 0.0444498
Correct Answer
$$4.4\times10^{-2}$$
2. Write the following in standard form to 2 significant digits: 0.118031
Correct Answer
$$1.2\times10^{-1}$$

7. Significant figures

1. Write the following in preferred standard form to 5 significant digits: 1864.764
Correct Answer
$$1.8648\times10^{3}$$
2. Write the following in preferred standard form to 5 significant digits: 0.00000534184
Correct Answer
$$5.3418\times10^{-6}$$

8. Simplify 2

Simplify the following expression: $$ \frac{\frac{-1}{-5} + 4\times5}{{\left(\frac{5}{-1}\right)}^{2}} $$
Correct Answer
$$ \frac{101}{125}$$ or 0.808000

9. Simplify 1

Simplify the following expression: $$ 2\times3\times1\left(1 - 6 + -4 - 1\right) $$
Correct Answer
$$ -60$$ or -60.0000

10. Simplify 2

Simplify the following expression: $$ {\left(1 - 6\right)}^{2} - \frac{6 + -4}{2 + 1} $$
Correct Answer
$$ \frac{73}{3}$$ or 24.3333


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